The candidate of Langlands parameter is given by the method of Kaletha
[1]}. Regard the compact group \(\displaystyle U_{K/F}\)  as the
group of \(\displaystyle F\) -rational points of an elliptic torus of \(\displaystyle SL_n\) . Then, by
the local Langlands correspondence of tori
(see [2]}) and the Langlands-Schelstad procedure
([3]}) gives a group homomorphism \(\displaystyle \varphi \)  of
the Weil group \(\displaystyle W_F\)  of \(\displaystyle F\)  to the dual group
\(\displaystyle G\hat{}=PGL_n(C)\)  of \(\displaystyle SL_n\)  over \(\displaystyle F\) .
